383248768 has 32 divisors (see below), whose sum is σ = 872577360. Its totient is φ = 164249088.

The previous prime is 383248739. The next prime is 383248769. The reversal of 383248768 is 867842383.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×383248768³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383248769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212971 + ... + 214762.

Almost surely, 2^383248768 is an apocalyptic number.

It is an amenable number.

383248768 is an abundant number, since it is smaller than the sum of its proper divisors (489328592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383248768 is an equidigital number, since it uses as much as digits as its factorization.

383248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427754 (or 427742 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The square root of 383248768 is about 19576.7404845648. The cubic root of 383248768 is about 726.3739418935.

The spelling of 383248768 in words is "three hundred eighty-three million, two hundred forty-eight thousand, seven hundred sixty-eight".